Addou, IdrisWang, Shin-Hwa2021-04-232021-04-232004-05-20Addou, I., & Wang, S. H. (2004). Exact multiplicity results for a p-Laplacian positone problem with concave-convex-concave nonlinearities. <i>Electronic Journal of Differential Equations, 2004</i>(72), pp. 1-25.1072-6691https://hdl.handle.net/10877/13425We study the exact number of positive solutions of a two-point Dirichlet boundary-value problem involving the p-Laplacian operator. We consider the case p = 2 and the case p > 1, when the nonlinearity ƒ satisfies ƒ(0) > 0 (positone) and has three distinct simple positive zeros and such that ƒ'' changes sign exactly twice on (0, ∞). Note that we may allow ƒ'' to change sign more than twice on (0, ∞). We also present some interesting examples.Text24 pages1 file (.pdf)enAttribution 4.0 InternationalExact multiplicity resultp-LaplacianPositone problemBifurcationConcave-convex-concave nonlinearityPositive solutionsDead core solutionTime mapArticle